I would be really happy if it would be possible to refuse the autokit to be given to players that got killed by another player.
Also, if the cooldown would activate here too to prevent that players kill themselves afterwards to receive the autokit then.
If this would be possible you could prevent killed players from spawning in a nearby sleeping bag with the autokit on.
On my server the autokit contains a weapon and ammo which means that killey players can maybe easily get back to their enemies and shoot them without having to manage to get weapons and gear from their own chests. This is kinda unfair and annoying.
I don't if this is somehow possible.
I just got that problem that a cooldown would make it more fair in the described situation but a cooldown for new players that just started and maybe die fast in the first minute is unfair again cause they are naked suddenly have less chances to survive then before.